What is the Greatest Common Factor of 29315 and 29329?

Greatest common factor (GCF) of 29315 and 29329 is 1.

GCF(29315,29329) = 1

We will now calculate the prime factors of 29315 and 29329, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29315 and 29329.

How to find the GCF of 29315 and 29329?

We will first find the prime factorization of 29315 and 29329. After we will calculate the factors of 29315 and 29329 and find the biggest common factor number .

Step-1: Prime Factorization of 29315

Prime factors of 29315 are 5, 11, 13, 41. Prime factorization of 29315 in exponential form is:

29315 = 5¹ × 11¹ × 13¹ × 41¹

Step-2: Prime Factorization of 29329

Prime factors of 29329 are 139, 211. Prime factorization of 29329 in exponential form is:

29329 = 139¹ × 211¹

Step-3: Factors of 29315

List of positive integer factors of 29315 that divides 29315 without a remainder.

1, 5, 11, 13, 41, 55, 65, 143, 205, 451, 533, 715, 2255, 2665, 5863

Step-4: Factors of 29329

List of positive integer factors of 29329 that divides 29315 without a remainder.

1, 139, 211

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29315 and 29329. The biggest common factor number is the GCF number.
So the greatest common factor 29315 and 29329 is 1.

Also check out the Least Common Multiple of 29315 and 29329